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3 years ago

Find the distance between the points given. (-1, -1) and (1, 3)

Mathematics

2 answers:

Afina-wow [57]3 years ago

8 0

(2,4) it takes 2 from -1 to 1 and 4 from -1 to 3

allsm [11]3 years ago

3 0

Given two points $A = (A_x, A_y)$ and $B = (B_x, B_y)$ , you can compute their distance using the Pythagorean theorem: you have

$AB = \sqrt{(A_x-B_x)^2 + (A_y - B_y)^2}$

In your case, you have

$AB = \sqrt{(-1-1)^2 + (-1-3)^2} = \sqrt{(-2)^2+(-4)^2} = \sqrt{4+16} = \sqrt{20} = 2\sqrt{5}$

You might be interested in

List all possible rational roots. Then use synthetic division to confirm which rational roots exist:

Kisachek [45]

Answer:

$\boxed{(1) \, x = \, \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10; (2) \, x = -2}$

Step-by-step explanation:

2x³+ 6x² - x - 10 = 0

(1) Possible roots

The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

$\text{Possible rational root} = \dfrac{ p }{ q } = \dfrac{\text{factor of constant term}}{\text{factor of leading coefficient}}$

In your function, the constant term is -10 and the leading coefficient is 2, so

$\text{Possible root} = \dfrac{\text{factor of 10}}{\text{factor of 2}}$

Factors of 10 = ±1, ±2, ±5, ±10

Factors of 2 = ±1, ±2

$\text{Possible roots are } \large \boxed{\mathbf{x = \pm \dfrac{1}{2}, \pm 1, \pm2, \pm \dfrac{5}{2}, \pm 5, \pm 10}}$

(2) Synthetic division

Rather than work through all 12 possibilities, I will do one that works.

$\begin{array}{r|rrrr}-2 & 2 & 6 & -1 & -10\\& & -4& -4 & 10\\& 2 & 2& -5 & 0\\\end{array}$

So, x = -2 is a root, and the quotient is 2x² + 2x - 5.

(3) Check for other rational roots

2x² + 2x - 5 = 0

D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44

√44 = 2√11, which is irrational.

Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.

6 0

4 years ago

Whats the answer to x 2x x -16

Pavel [41]

Answer:

-32x

Step-by-step explanation:

2x16=32 add the negative sign because negative

4 0

3 years ago

You might need:

Nostrana [21]

Answer:

360.82 units

Step-by-step explanation:

The circle has a circumference of 1,133.54 units.

The circumference of a circle is given as:

C = πD

where D = diameter

This implies that:

1133.54 = πD

=> D = 1133.54 / π

D = 360.82 units

Its diameter is 360.82 units

5 0

3 years ago

Krystal made 8 quarts of soup on Monday 5 quarts of soup on Tuesday and 5 quarts of soup on Wednesday. If she serves each guest

AlladinOne [14]

You have to add these together to find the total number of quarts she made. 8+5+5= 18 quarts of soup. if everyone gets one cup, then 18 people is able to get soup. the answer is 18 guests

8 0

4 years ago

A zookeeper is buying fencing to enclose a pen at the zoo. The pen is an isosceles right triangle. There is already a fence alon

pav-90 [236]

Answer:

He should buy 189.47 feets.

Step-by-step explanation:

Since there's a hypotenuse this triangle is rectangular and since it's an isosceles triangle we know that both cathetus are equal. We were given the area of this triangle, wich is 4500 square feet, the equation to compute this area is A = b*h/2, since the cathetus are equal b = h and we can solve for either of this variables. So we have:

A = b*b/2

4500 = b*b/2

b*b= 9000

b = sqrt(9000) = 94.87 feet

Since the hypotenuse of this triangle already has a fence we only need to buy the fencing for the cathetus, wich should be two times b, since there are two cathetus. So the amount of fence is 2*b = 2*94.87 = 189.74 feets.

5 0

4 years ago